Let a, b, c E R, and consider the plane P with equation in vector form given by x = [a, b, 3] + s[a, c, 2] + t[b, c, 1], s, t e R. Suppose that P • is parallel to the plane 3x + 5y – 9z = 11; and • contains the point (-1, 10,9). Find a, b, and c.

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